Asymptotic stability, L1 gain and time-varying H∞ control of switched positive systems

被引：2
|
作者：
Xiong J.-D. [1 ]
Huang Q. [1 ]
Wu J. [2 ]
机构：
[1] School of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, Henan
[2] Automation College, Foshan University, Foshan, 528000, Guangdong
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2019年 / 36卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Asymptotic stability; Copositive Lyapunov function; Dwell time; L[!sub]1[!/sub] gain;
D O I：
10.7641/CTA.2019.80416
中图分类号：
学科分类号：
摘要：
A time-varying piecewise linear copositive Lyapunov function method is proposed for discrete time switched linear positive systems with dwell time, and a sufficient condition is established to ensure the asymptotic stability of the system in this paper. In addition, the method is used to analysis L1 gain of discrete time switched linear positive systems, a sufficient condition ensuring the unweighted γ-L1 gain of the system is derived. Further, a time-varying H∞ feedback control is designed for the system, which keeps the closed-loop system having a minimum γ-L1 gain. Finally, a numerical example is given to verify the conclusions. © 2019, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.
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收藏
页码：1615 / 1621
页数：6
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